Question

Design synchronous MOD-5 counter counting following binary sequence uding T flip flop. Sequence: 0,1,2,3,4,0,1,2,3,4,0,1,,,,,,,,,,

Answer 1

Answer:

Prerequisite – Counters

Problem – Design synchronous counter for sequence: 0 → 1 → 3 → 4 → 5 → 7 → 0, using T flip-flop.

Explanation:

For given sequence, state transition diagram as following below:

State transition table logic:

Present State Next State

0 1

1 3

3 4

4 5

5 7

7 0

State transition table for given sequence:

Present State Next State

Q3 Q2 Q1 Q3(t+1) Q2(t+1) Q1(t+1)

0 0 0 0 0 1

0 0 1 0 1 1

0 1 1 1 0 0

1 0 0 1 0 1

1 0 1 1 1 1

1 1 1 0 0 0

T flip-flop – If value of Q changes either from 0 to 1 or from 1 to 0 then input for T flip-flop is 1 else input value is 0.